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2008, Volume 9, Issue 1: 163-182. Doi: 10.3934/dcdsb.2008.9.163
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The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes

  • 1.

    LSEC, Institute of Computational Mathematics, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080

  • 2.

    College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan 410081

Received:  January 2007
Revised:  September 2007
Published:  January 2008
Abstract Related Papers Cited by
    Abstract
  • In this paper, some patch recovery methods are proposed and analyzed for finite element approximation of elasticity problems using quadrilateral meshes. Under a mild mesh condition, superconvergence results are established for the recovered stress tensors. Consequently, a posteriori error estimators based on the recovered stress tensors are asymptotically exact.
    Mathematics Subject Classification: Primary: 65N30. 65N15; Secondary: 65N12, 65D10, 41A10.

    Citation:
    shu

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